Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
An ordered series of control poses may be interpolated by a polyscrew (piecewise helical) rigid body motion composed of a series of screws, each interpolating a pair of consecutiv...
In this report, we propose a new definition of the E2 DT (Squared Euclidean Distance Transformation) on irregular isothetic grids. We describe a new separable algorithm to compute...
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...